Lecture 22 - Survey Experiments for Sensitive Topics
R packages availableSource: Blair and Imai (2012)
Now I’m going to read you three things that sometimes make people angry or upset. After I read all three, just tell me HOW MANY of them upset you. (I don’t want to know which ones, just how many.)
- the federal government increasing the tax on gasoline
- professional athletes getting million-dollar-plus salaries
- large corporations polluting the environment
How many, if any, of these things upset you?
Now I’m going to read you four things that sometimes make people angry or upset. After I read all four, just tell me HOW MANY of them upset you. (I don’t want to know which ones, just how many.)
- the federal government increasing the tax on gasoline
- professional athletes getting million-dollar-plus salaries
- large corporations polluting the environment
- a Muslim family moving next door to you
How many, if any, of these things upset you?
\[ \sum_{j=1}^{J} Z_{ij}(0) = \sum_{j=1}^{J} Z_{ij}(1) \text{ or equivalently } Y_i(0) = Y_i(1) + Z_{i,J+1}(1). \]
\[ Z_{i,J+1}(1) = Z^*_{i,J+1} \]
where \(Z^*_{i,J+1}\) represents a truthful answer to the sensitive item. The treatment effect is
\[\hat{\tau} = \frac{1}{N_1} \sum_{i=1}^{N} T_i Y_i - \frac{1}{N_0} \sum_{i=1}^{N} (1 - T_i) Y_i,\]
where \(N_1 = \sum_{i=1}^{N} T_i\) is the size of the treatment group and \(N_0 = N - N_1\) is the size of the control group
Social desirability bias